Titlebook: Arrays, Functional Languages, and Parallel Systems; Lenore M. R. Mullin,Michael Jenkins,Guang Gao Book 1991 Springer Science+Business Medi

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Book 1991n- fluenced by programming languages and systems. More‘s Army Theory was the basis for NIAL and APL2 and Mullin‘s A Mathematics of A rmys(MOA) , is being used as an algebra of arrays in functional and A-calculus based pro- gramming languages. MOA was influenced by Iverson‘s initial and extended alge

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Explosive Spiele für Ihren VC20roups. A Mathematics of Arrays(MOA)[.]_builds upon these ideas to construct permutation and transformation groups into a calculus of n-dimensional arrays with the Psi function as the fundamental building block. We propose that this calculus provide a basis for Formal Functional Programming(FFP)[.]_with arrays for parallel architectures.

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Explosive Welding, Forming and Compactionrmations of data. Genotype is universal, being a language that describes invariants of transformations of data. Genotype is a pure functional language as it has no imperative features and side effects. Genotype is an intrinsically parallel language: arrays permit the manipulation of multiple large groups of data as a single unit.

Exposition

Paul N. Worsey,Jason Baird,Jahan Rasty matrix inversion on a scalable architecture with realistic communication costs. Three-dimensional fan-in requirements imply a lower bound of Ω(..) or Ω(..) depending on the input’s spatial distribution. The example of inversion illustrates general methods for optimal mesh implementation of matrix algorithms.

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A Parallel Intermediate Representation based on Lambda Expressions, use the lambda calculus as an intermediate form for languages that operate on large data items as single entities, such as FP or APL. We conclude by discussing how this intermediate representation can facilitate the generation of code for different types of parallel systems.